Atkin-Lehner |
2- 3- 5- 59- |
Signs for the Atkin-Lehner involutions |
Class |
70800dg |
Isogeny class |
Conductor |
70800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-17700000000 = -1 · 28 · 3 · 58 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 0 4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-708,-9912] |
[a1,a2,a3,a4,a6] |
Generators |
[69251:19950:2197] |
Generators of the group modulo torsion |
j |
-393040/177 |
j-invariant |
L |
9.321506818868 |
L(r)(E,1)/r! |
Ω |
0.45285446037885 |
Real period |
R |
6.8612969755771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17700f1 70800bk1 |
Quadratic twists by: -4 5 |